1. Add 3/4 and 1/4.
2. Find the value of : 7/15 + 13/15 + 11/15.
3. Subtract 3/21 from 10/21.
4. Find the value of : 5/28 + 3/28 - 1/28.
5. Add 1/12 and 3/18.
6. Subtract 7/20 from 5/16.
7. Find the value of : 3/4 + 5/6 + 1/9.
8. Find the value of : 1/15 - 7/10 + 3/20.
1. Answer :
3/4 + 1/4
The fractions above have the same denominator, that is 4.
So, take the denominator once and combine the numerators.
3/4 + 1/4 = (3 + 1)/4
= 4/4
= 1
2. Answer :
7/15 + 13/15 + 11/15
The fractions above have the same denominator, that is 15.
So, take the denominator once and simplify the numerators.
7/15 + 13/15 + 11/15 = (7 + 13 + 11)/15
= 31/15
3. Answer :
10/21 - 3/21
The fractions above have the same denominator, that is 21.
So, take the denominator once and simplify the numerators.
10/21 - 3/21 = (10 - 3)/21
= 7/21
= 1/3
4. Answer :
5/28 + 3/28 - 1/28
The fractions above have the same denominator, that is 28.
So, take the denominator once and simplify the numerators.
5/28 + 3/28 - 1/28 = (5 + 3 - 1)/28
= 7/28
= 1/4
5. Answer :
1/12 + 3/18
The fractions above have different denominators.
Find the least common multiple of the denominators.
Least common multiple of (12, 18) = 36.
Now, make the denominator of each fraction 36 using multiplication.
1/12 = (1 ⋅ 3)/(12 ⋅ 3) = 3/36
3/18 = (3 ⋅ 2)/(18 ⋅ 2) = 6/36
1/12 + 3/18 :
= 3/36 + 6/36
= (3 + 6)/36
= 9/36
= 1/4
6. Answer :
5/16 - 7/20
The fractions above have different denominators.
Find the least common multiple of the denominators.
Least common multiple of (16, 20) = 80.
Now, make the denominator of each fraction as 80 using multiplication.
5/16 = (5 ⋅ 5)/(16 ⋅ 5) = 25/80
7/20 = (7 ⋅ 4)/(20 ⋅ 4) = 28/80
5/16 - 7/20 :
= 25/80 - 28/80
= (25 - 28)/80
= -3/80
7. Answer :
3/4 + 5/6 + 1/9
The fractions above have different denominators.
Find the least common multiple of the denominators.
Least common multiple of (4, 6, 9) = 36.
Now, make the denominator of each fraction as 36 using multiplication.
3/4 = (3 ⋅ 9)/(4 ⋅ 9) = 27/36
5/6 = (5 ⋅ 6)/(6 ⋅ 6) = 30/36
1/9 = (1 ⋅ 4)/(9 ⋅ 4) = 4/36
3/4 + 5/6 + 1/9 :
= 27/36 + 30/36 + 4/36
= (27 + 30 + 4)/36
= 61/36
8. Answer :
1/15 - 7/10 + 3/20
The fractions above have different denominators.
Find the least common multiple of the denominators.
Least common multiple of (15, 10, 20) = 60.
Now, make the denominator of each fraction as 60 using multiplication.
1/15 = (1 ⋅ 4)/(4 ⋅ 15) = 4/60
7/10 = (7 ⋅ 6)/(10 ⋅ 6) = 42/60
3/20 = (3 ⋅ 3)/(20 ⋅ 3) = 9/60
1/15 - 7/10 + 3/20 :
= 4/60 + 42/60 + 9/60
= (4 + 42 + 9)/60
= 55/60
= 11/12
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